Thanks for the screen captures.
Indeed, some components look like they are the same and others different. Wouldn’t they be just in a different order? Or could it be a scaling problem in the display? Or are some components just ignored in the EEGLAB display, while Brainstorm displays them all. Check the total number of components.
For debugging purposes, you could try with less IC (with a PCA before) so that it is easier to check the components order.
I’m sorry, I have no idea how EEGLAB displays them, I can’t help you much with it.